Which transformations could be performed to show that △ABC is similar to △A"B"C"? a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third

rotation of 180 degrees, and then dilation by ⅓

Explanation:

Given

See attachment for triangles

Required

The transformation from ABC to A"B"C

Taking points A and A" as points of references.

We have:

A = (-9,3)

A" = (3,-1)

First, A is rotated by 180°.

The rule is:

(x,y) => (-x,-y)

So:

A = (-9,3) ==> A'(9,-3)

Next is a dilation by ⅓.

So:

A" = ⅓ * A

A" = ⅓ * (9,-3)

A" = (3,-1).

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